Ninth Homework Set Answers

2. (a) For this rule note the central cell lives in the next generation if it is alive in the current generation, regardless of the states of the cells around it. Also, the central cell is dead in the next generation if it is dead in the current generation, regardless of the states of the cells around it. That is, all live cells stay alive and all dead cells stay dead. The pattern is vertical bars of live cells, one under each live cell of the initial generation.

(b) For this rule note the central cell lives in the next generation if it is dead in the current generation, regardless of the states of the cells around it. Also, the central cell is dead in the next generation if it is alive in the current generation, regardless of the states of the cells around it. That is, all live cells die and all dead cells become alive. The pattern is vertical bars of cells alternating dead and alive, with the first cell in each bar given by the initial generation.

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